Chirped optical solitons for the complex Ginzburg–Landau equation with Hamiltonian perturbations and Kerr law nonlinearity

References

[1] N. A. Kudryashov, “Highly dispersive optical solitons of equation with various polynomial nonlinearity law,” Chaos, Solit. Fractals, vol. 140, p. 110202, 2020, https://doi.org/10.1016/j.chaos.2020.110202.Search in Google Scholar

[2] A. Das, A. Biswas, M. Ekici, Q. Zhou, A. S. Alshomrani, and M. R. Belic, “Optical solitons with complex Ginzburg-Landau equation for two nonlinear forms using F-expansion,” Chin. J. Phys., vol. 61, pp. 255–261, 2019, https://doi.org/10.1016/j.cjph.2019.08.009.Search in Google Scholar

[3] A. M. Elsherbeny, R. El-barkouky, H. M. Ahmed, R. M. I. El-hassani, and A. H. Arnous, “New optical solitons for nonlinear longitudinal wave equation in magneto-electro-elastic circular rod using two integration algorithms,” J. Opt., vol. 52, no. 3, pp. 1131–1141, 2023, https://doi.org/10.1007/s12596-022-00927-8.Search in Google Scholar

[4] Q. Zhou, “Highly influence of parameters of optical fibers on optical soliton interactions,” Chin. Phys. Lett., vol. 39, no. 1, p. 010501, 2022, https://doi.org/10.1088/0256-307x/39/1/010501.Search in Google Scholar

[5] X. Z. Xu and M. Y. Wang, “Exact solutions of perturbed stochastic NLSE with generalized anti-cubic law nonlinearity and multiplicative white noise,” Results Phys., vol. 56, p. 107205, 2024, https://doi.org/10.1016/j.rinp.2023.107205.Search in Google Scholar

[6] J. X. Tang and X. Su, “Traveling wave solutions, dynamic properties and chaotic behaviors of Schrödinger equation in magneto-optic waveguide with anti-cubic nonlinearity,” Results Phys., vol. 54, p. 107106, 2023, https://doi.org/10.1016/j.rinp.2023.107106.Search in Google Scholar

[7] Q. Zhou, Z. Luan, Z. Zeng, and Y. Zhong, “Effective amplification of optical solitons in high power transmission systems,” Nonlinear Dynam., vol. 109, no. 4, pp. 3083–3089, 2022, https://doi.org/10.1007/s11071-022-07590-5.Search in Google Scholar

[8] A. Zafar, M. Shakeel, A. Ali, L. Akinyemi, and H. Rezazadeh, “Optical solitons of nonlinear complex Ginzburg-Landau equation via two modified expansion schemes,” Opt. Quant. Electron., vol. 54, no. 1, pp. 1–15, 2022, https://doi.org/10.1007/s11082-021-03393-x.Search in Google Scholar

[9] N. Das and S. S. Ray, “Investigations of bright, dark, kink-antikink optical and other soliton solutions and modulation instability analysis for the (1+1)-dimensional resonant nonlinear Schrödinger equation with dual-power law nonlinearity,” Opt. Quant. Electron., vol. 55, no. 12, p. 1071, 2023, https://doi.org/10.1007/s11082-023-05341-3.Search in Google Scholar

[10] M. Ozisik, et al.., “On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrödinger-Hirota equations,” Optik, vol. 272, p. 170389, 2023, https://doi.org/10.1016/j.ijleo.2022.170389.Search in Google Scholar

[11] N. Das and S. S. Ray, “Highly dispersive optical solitons and solitary wave solutions for the (2+1)-dimensional Mel’nikov equation in modelling interaction of long waves with short wave packets in two dimensions,” J. Nonlinear Opt. Phys. Mater., 2023, Art. no. 2350075, https://doi.org/10.1142/S0218863523500753.Search in Google Scholar

[12] S. Yasin, A. Khan, S. Ahmad, and M. S. Osman, “New exact solutions of (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation by Sardar-subequation method,” Opt. Quant. Electron., vol. 56, no. 1, p. 90, 2024, https://doi.org/10.1007/s11082-023-05558-2.Search in Google Scholar

[13] N. Das and S. S. Ray, “Exact traveling wave solutions and soliton solutions of conformable M-fractional modified nonlinear Schrödinger model,” Optik, vol. 287, p. 171060, 2023, https://doi.org/10.1016/j.ijleo.2023.171060.Search in Google Scholar

[14] X. Hu and Z. Yin, “A study of the pulse propagation with a generalized Kudryashov equation,” Chaos, Solitons Fractals, vol. 161, p. 112379, 2022, https://doi.org/10.1016/j.chaos.2022.112379.Search in Google Scholar

[15] S. Yang, “Optical soliton propagation patterns in anti-cubic nonlinear metamaterials by a unified integral approach,” Optik, vol. 244, p. 167559, 2021, https://doi.org/10.1016/j.ijleo.2021.167559.Search in Google Scholar

[16] L. Tang, “Phase portraits and multiple optical solitons perturbation in optical fibers with the nonlinear Fokas-Lenells equation,” J. Opt., vol. 52, no. 4, pp. 2214–2223, 2023, https://doi.org/10.1007/s12596-023-01097-x.Search in Google Scholar

[17] W. X. Ma, “Matrix integrable fourth-order nonlinear Schrödinger equations and their exact soliton solutions,” Chin. Phys. Lett., vol. 39, no. 10, p. 100201, 2022, https://doi.org/10.1088/0256-307x/39/10/100201.Search in Google Scholar

[18] D. S. Wang, S. Yin, Y. Tian, and Y. Liu, “Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects,” Appl. Math. Comput., vol. 229, pp. 296–309, 2014, https://doi.org/10.1016/j.amc.2013.12.057.Search in Google Scholar

[19] M. Y. Wang, “Highly dispersive optical solitons of perturbed nonlinear Schrödinger equation with Kudryashov’s sextic-power law nonlinear,” Optik, vol. 267, p. 169631, 2022, https://doi.org/10.1016/j.ijleo.2022.169631.Search in Google Scholar

[20] Y. Kai and Z. Yin, “Asymptotic analysis to domain walls between traveling waves modeled by real coupled Ginzburg-Landau equations,” Chaos, Solit. Fractals, vol. 152, p. 111266, 2021, https://doi.org/10.1016/j.chaos.2021.111266.Search in Google Scholar

[21] Y. Yıldırım, et al.., “Optical solitons with differential group delay for complex Ginzburg-Landau equation,” Results Phys., vol. 16, p. 102888, 2020, https://doi.org/10.1016/j.rinp.2019.102888.Search in Google Scholar

[22] G. Yabre, “Theoretical investigation on the dispersion of graded-index polymer optical fibers,” J. Lightwave Technol., vol. 18, no. 6, p. 869, 2000, https://doi.org/10.1109/50.848400.Search in Google Scholar

[23] Q. Bao, et al.., “Monolayer graphene as a saturable absorber in a mode-locked laser,” Nano Res., vol. 4, no. 3, pp. 297–307, 2011, https://doi.org/10.1007/s12274-010-0082-9.Search in Google Scholar

[24] D. Mei, Y. Fang, D. Zhang, D. Guo, and Z. Chen, “Evaporation and micro-explosion performances of nano-fuel droplets,” Fuel, vol. 334, no. 1, p. 126623, 2023, https://doi.org/10.1016/j.fuel.2022.126623.Search in Google Scholar

[25] Y. Koike and K. Koike, “Progress in low-loss and high-bandwidth plastic optical fibers,” J. Polym. Sci. Part B: Polym. Phys., vol. 49, no. 1, pp. 2–17, 2011, https://doi.org/10.1002/polb.22170.Search in Google Scholar

[26] W. X. Ma and L. Zhang, “Lump solutions with higher-order rational dispersion relations,” Pramana, vol. 94, no. 1, pp. 1–7, 2020, https://doi.org/10.1007/s12043-020-1918-9.Search in Google Scholar

[27] A. B. Dar and R. K. Jha, “Chromatic dispersion compensation techniques and characterization of fiber Bragg grating for dispersion compensation,” Opt. Quant. Electron., vol. 49, no. 3, pp. 1–35, 2017, https://doi.org/10.1007/s11082-017-0944-4.Search in Google Scholar

[28] F. Wu, et al.., “Use of double-grating Offner stretcher for dispersion control in petawatt level optical parametric chirped pulse amplification systems,” Opt. Laser Technol., vol. 148, p. 107791, 2022, https://doi.org/10.1016/j.optlastec.2021.107791.Search in Google Scholar

[29] Y. Song, X. Shi, C. Wu, D. Tang, and H. Zhang, “Recent progress of study on optical solitons in fiber lasers,” Appl. Phys. Rev., vol. 6, no. 2, p. 021313, 2019, https://doi.org/10.1063/1.5091811.Search in Google Scholar

[30] A. Petrulenas, P. Mackonis, and A. M. Rodin, “Signal-to-idler energy conversion from 1.9 to 2.3 μm by transient stimulated Raman chirped-pulse amplification,” Opt. Lett., vol. 48, no. 7, pp. 1598–1601, 2023, https://doi.org/10.1364/ol.481811.Search in Google Scholar

[31] M. Y. Tang, “Chirped patterns of the Gerdjikov-Ivanov equation with Kerr law nonlinearity in dense wavelength division multiplexed systems,” Opt. Quant. Electron., vol. 56, no. 2, p. 146, 2024, https://doi.org/10.1007/s11082-023-05629-4.Search in Google Scholar

[32] G. Dieu-donne, M. B. Hubert, A. Seadawy, T. Etienne, G. Betchewe, and S. Y. Doka, “Chirped soliton solutions of Fokas-Lenells equation with perturbation terms and the effect of spatio-temporal dispersion in the modulational instability analysis,” Eur. Phys. J. Plus, vol. 135, no. 2, p. 212, 2020, https://doi.org/10.1140/epjp/s13360-020-00142-z.Search in Google Scholar

[33] E. Podivilov and V. L. Kalashnikov, “Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation,” J. Exp. Theor. Phys. Lett., vol. 82, no. 8, pp. 467–471, 2005, https://doi.org/10.1134/1.2150863.Search in Google Scholar

[34] A. Houwe, M. Inc, S. Y. Doka, M. Akinlar, and D. Baleanu, “Chirped solitons in negative index materials generated by Kerr nonlinearity,” Results Phys., vol. 17, p. 103097, 2020, https://doi.org/10.1016/j.rinp.2020.103097.Search in Google Scholar

[35] Q. Zhou, et al.., “Chirped bright and kink solitons in nonlinear optical fibers with weak nonlocality and cubic-quantic-septic nonlinearity,” Chin. Phys. Lett., vol. 39, no. 4, p. 044202, 2022, https://doi.org/10.1088/0256-307x/39/4/044202.Search in Google Scholar

[36] M. Y. Tang, “Exact chirped solutions of the perturbed Gerdjikov-Ivanov equation with spatio-temporal dispersion,” Z. Naturforsch. A, vol. 78, no. 8, pp. 703–719, 2023, https://doi.org/10.1515/zna-2023-0093.Search in Google Scholar

[37] M. Y. Tang and M. Y. Wang, “The chirped wave propagation in modified cubic-quintic complex Ginzburg-Landau equation with parabolic law,” Optik, vol. 275, p. 170547, 2023, https://doi.org/10.1016/j.ijleo.2023.170547.Search in Google Scholar

[38] I. Samir, N. Badra, H. M. Ahmed, and A. H. Arnous, “Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method,” Commun. Nonlinear Sci. Numer. Simulat., vol. 102, p. 105945, 2021, https://doi.org/10.1016/j.cnsns.2021.105945.Search in Google Scholar

[39] A. H. Arnous, et al.., “Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation by the enhanced Kudryashov’s method,” Chaos, Solit. Fractals, vol. 155, p. 111748, 2022, https://doi.org/10.1016/j.chaos.2021.111748.Search in Google Scholar

[40] A. Biswas, et al.., “Conservation laws for pure-cubic optical solitons with complex Ginzburg-Landau equation having several refractive index structures,” Results Phys., vol. 31, p. 104901, 2021, https://doi.org/10.1016/j.rinp.2021.104901.Search in Google Scholar

[41] M. Y. Wang, “Optical solitons with perturbed complex Ginzburg-Landau equation in Kerr and cubic-quintic-septic nonlinearity,” Results Phys., vol. 33, p. 105077, 2022, https://doi.org/10.1016/j.rinp.2021.105077.Search in Google Scholar

[42] F. Li, “Exact solutions and dynamic properties of the complex Ginzburg-Landau equation with law of four powers of nonlinearity,” Phys. Scr., vol. 98, no. 10, p. 105238, 2023, https://doi.org/10.1088/1402-4896/acf898.Search in Google Scholar

[43] T. Han, Z. Li, C. Li, and L. Zhao, “Bifurcations, stationary optical solitons and exact solutions for complex Ginzburg-Landau equation with nonlinear chromatic dispersion in non-Kerr law media,” J. Opt., vol. 52, no. 2, pp. 831–844, 2023, https://doi.org/10.1007/s12596-022-01041-5.Search in Google Scholar

[44] C. S. Liu, “Trial equation method to nonlinear evolution equations with rank inhomogeneous: mathematical discussions and its applications,” Commun. Theor. Phys., vol. 45, no. 2, pp. 219–223, 2006, https://doi.org/10.1088/0253-6102/45/2/005.Search in Google Scholar

[45] C. S. Liu, “A new trial equation method and its applications,” Commun. Theor. Phys., vol. 45, no. 3, pp. 395–397, 2006, https://doi.org/10.1088/0253-6102/45/3/003.Search in Google Scholar

[46] C. S. Liu, “Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics,” Found. Phys., vol. 41, no. 5, pp. 793–804, 2011, https://doi.org/10.1007/s10701-010-9521-4.Search in Google Scholar

[47] C. S. Liu, “Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations,” Comput. Phys. Commun., vol. 181, pp. 317–324, 2010, https://doi.org/10.1016/j.cpc.2009.10.006.Search in Google Scholar

[48] C. S. Liu, “Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation,” Chinese Phys., vol. 14, no. 9, pp. 1710–1715, 2005, https://doi.org/10.1088/1009-1963/14/9/005.Search in Google Scholar

[49] Y. Kai, S. Chen, B. Zheng, K. Zhang, N. Yang, and W. Xu, “Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method,” Chaos, Solit. Fractals, vol. 141, p. 110314, 2020, https://doi.org/10.1016/j.chaos.2020.110314.Search in Google Scholar

[50] T. Wei, et al.., “Wave patterns and dynamical properties of optical propagation by a higher order nonlinear Schrödinger equation,” Results Phys., vol. 46, p. 106283, 2023, https://doi.org/10.1016/j.rinp.2023.106283.Search in Google Scholar

[51] Y. Kai, J. L. Ji, and Z. X. Yin, “Exact solutions and dynamic properties of Ito-Type coupled nonlinear wave equations,” Phys. Lett. A, vol. 421, p. 127780, 2022, https://doi.org/10.1016/j.physleta.2021.127780.Search in Google Scholar

[52] C. S. Liu, “Classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation,” Commun. Theor. Phys., vol. 48, no. 4, p. 601, 2007, https://doi.org/10.1088/0253-6102/48/4/004.Search in Google Scholar

[53] Y. Kai and Y. Li, “A study of Kudryashov equation and its chaotic behaviors,” Waves Random Complex Media, pp. 1–17, 2023, https://doi.org/10.1080/17455030.2023.2172231.Search in Google Scholar

[54] H. Triki, K. Porsezian, and P. Grelu, “Chirped soliton solutions for the generalized nonlinear Schrödinger equation with polynomial nonlinearity and non-Kerr terms of arbitrary order,” J. Opt., vol. 18, no. 7, p. 075504, 2016, https://doi.org/10.1088/2040-8978/18/7/075504.Search in Google Scholar

[55] A. K. Daoui, et al.., “Propagation of chirped periodic and localized waves with higher-order effects through optical fibers,” Chaos, Solit. Fractals, vol. 146, p. 110873, 2021, https://doi.org/10.1016/j.chaos.2021.110873.Search in Google Scholar